Very nice looking B barrel, these are getting tough to find and more pricey as well. I'd avoid doing anything to the stock at all as its already a rather attractive one.. The stocks on these post war M39 builds already have a wood finish on them even though they have a rather dry appearance and any non correct wood finish you apply to it will seriously devalue it in the long run.

I've always had issues of which were the best between my Finns and Swiss rifles. I guess since I own many more Finns, they get the edge.
That's a pretty nice looking "B" barrel. I hope it shoots a s good as it looks for you!